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Finding the Third Proportional to 1,297,450 and 2,066,096

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Solution

The third proportional to 1,297,450 and 2,066,096 is: 3,290,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,450 : 2,066,096 = 2,066,096 : x
  2. Step 2: Convert to fraction form
    1,297,450/2,066,096 = 2,066,096/x
  3. Step 3: Cross multiply
    1,297,450x = 2,066,096 × 2,066,096
  4. Step 4: Simplify right side
    1,297,450x = 4,268,752,681,216
  5. Step 5: Solve for x
    x = 4,268,752,681,216/1,297,450
  6. Step 6: Final answer
    x = 3,290,109.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.